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math.AC2024
Gapfree graphs and powers of edge ideals with linear quotients
Nursel Erey, Sara Faridi, Tài Huy Hà +3
Let be the edge ideal of a gapfree graph . An open conjecture of Nevo and Peeva states that has linear resolution for . We present a promising approach t…
math.AC2024
Regular Edges, Matchings and Hilbert Series
Joseph Brennan, Susan Morey
When is the edge ideal of a graph , we use combinatorial properities, particularly Property on connectivity of neighbors of an edge, to classify when a binomial sum of v…
math.AC2024
Scarf complexes of graphs and their powers
Sara Faridi, Tài Huy Hà, Takayuki Hibi +1
Every multigraded free resolution of a monomial ideal I contains the Scarf multidegrees of I. We say I has a Scarf resolution if the Scarf multidegrees are sufficient to describe a…